A theater charges $10 for children and $14 for adults to attend a drama. A total of 1600 tickets are sold for a total of &18400. How many children's ticket were sold?

Question

angela210793 · Answer

10x+14y=18400 whr x is the no.s of ticket which is sold to kids and y to adults
x+y=1600(*-10)

10x+14y=18400
-10x-10y=-16000 (add both eq)      4y=2400--->y=600

so x+600=1600--->x=1000 children's ticket r sold

amistre64 · Answer

ch@10 = (18400 - 1600(14))/(10-14) perhaps?

amistre64 · Answer

that gives me 1000 ch ticks; dbl check tho

angela210793 · Answer

my sol.isn't right? o.o

angela210793 · Answer

ahhha :):)

amistre64 · Answer

your way is the long stepped version; mine is simply a formula that condences it all into one shot

angela210793 · Answer

tht formula doesn't seem familiar to me O.o idk...

amistre64 · Answer

c + a = t
cx + ay = T ; now eliminate the "a"

-cy -ay = -ty
 cx +ay = T
--------------
c(x-y) = T-ty

       c = (T-ty)/(x-y)

       c = (18400 - 1600(14)) / (10-14)

angela210793 · Answer

hmmmm....interesting :) Thnx :)

anonymous · Answer

Thank you so much!!